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3 years ago

Let f(x)=3x-2 and g(x)=x^2+4 find f(g(12)

Mathematics

1 answer:

skad [1K]3 years ago

6 0

Answer:

442

Step-by-step explanation:

Find g(12) first.

12^2 + 4 = 144 + 4 = 148.

Now find f(148).

(3 x 148) -2 = 444-2 = 442.

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A candle maker has 4 1/2 pounds of clear wax. He wants to cut the wax into pieces that are 2/3 pound each. How many 2/3 pound pi

prisoha [69]

Answer:

a) 10 pieces of 2/3 pound can be made.

b) 0.54 pounds of wax is left over.

Step-by-step explanation:

Total amount of clear wax available = $4\frac{1}{2} = \frac{9}{2}$ pounds

So, the maker has in total 4.5 pounds of wax

Now, The weight of each piece = $\frac{2}{3} = 0.66$ pounds

To find the number of pieces that can be made out of 4.5 pounds of wax,

let that number = n

So, $n = \frac{\textrm{Total weight of the clear wax}}{\textrm{Weight of each wax}}$

or, n = $n = \frac{4.5}{0.66} = 6.81$

So, nearly 6 pieces can be made completely out of the clear wax

Left over amount of wax = Total weight - Weights of the pieces made

= 4.5- 6(0.66)

= 0.54 pounds

Hence, 0.54 pounds of wax is left over

8 0

3 years ago

What is the area of the circle?

Bumek [7]

Answer:

363

Step-by-step explanation:

Formula for area of a circle

A = πr^2

Where r = radius

The circle has a given radius of 11

To find the area of the circle we simply substitute r in the formula with the value of the radius (11)

( Also note that the question says to use 3 for π )

A = πr^2

π = 3

r = 11

Substitute values in formula

A = (3)(11)^2

11^2 = 121

A = 121(3)

121(3) = 363

A = 363

8 0

3 years ago

Read 2 more answers

Please help me!<br><br> Solve for x<br><br> 4−(2x+4)=5

Helga [31]

5 0

3 years ago

Read 2 more answers

state domain and range, intercepts, relative max and relative mins points and values, intervals of increase and decrease, interv

Anarel [89]

The domain of the graph is -∝ < x < ∝ and the range of the graph is -∝ < y < ∝. Also, the graph has no axis of symmetry

<h3>The domain and range of the graph</h3>

From the graph, we can see that the x values extend indefinitely

So, the domain of the graph is -∝ < x < ∝

From the graph, we can see that the y values extend indefinitely

So, the range of the graph is -∝ < y < ∝

<h3>The intercepts</h3>

This is where the graph crosses the axes

So, we have the intercepts to be

x-intercept = -4, -2 and 2
y-intercept = -9

<h3>Relative max and relative mins points and values, </h3>

The graph has a relative maximum at (3, 3) and the relative minimum are (0.5, 10)

<h3>Intervals of increase and decrease, </h3>

There are the intervals where the function increases and decreases

So, we have the intervals to be

Increasing interval: (0.5, ∝) and (-∝, -3)
Decreasing interval: (-3, 0.5)

<h3>Intervals of positive and negative,</h3>

There are the intervals where the function is positive and negative

So, we have the intervals to be

Positive interval: (-4, -2) and (2, ∝)
Negative interval: (-∝, -4) and (-2, 2)

<h3>The symmetry</h3>

This is the line that divides the graph equal part

In this case, the graph has no axis of symmetry

<h3>The end behavior</h3>

Using the intervals where the function is positive and negative, the end behavior is

As x ⇒ ∝, f(x) ⇒ +∝
As x ⇒ -∝, f(x) ⇒ -∝